Nothing
Pt <-
function(S,Pi,t){
ax<-matrix(0,nrow=4,ncol=4)
fx<-matrix(0,nrow=4,ncol=4)
Rx<-S%*%Pi
a1<-eigen((sqrt(Pi))%*%Rx%*%(solve(sqrt(Pi))),symmetric=T)$values
a2<-eigen((sqrt(Pi))%*%Rx%*%(solve(sqrt(Pi))),symmetric=T)$vectors
for(j in 1:4){
ax<-exp(a1[j]*(t))*a2[,j]%*%t(a2[,j])
fx<-fx+ax
}
ptx<-(solve(sqrt(Pi)))%*%fx%*%(sqrt(Pi))
ptx
}
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